MATHEMATICS HIGH SCHOOL

Which choice represents the simplified form of the expression below and the values of x for which it is defined?√7x^3 divide by √x

A.x√2x when x>0
B.x√7 when x<0
C.x√7 when x>1
D.x√7 when x>0

Answers

Answer 1
Answer: √(7x^3):√(x)=\sqrt(7x^3)/(x)=√(7x^2)=x\sqrt7\n\n√(7x^3)\to x^3\geq0\to x\geq0\ \wedge\ √(x)\to x > 0\n\nAnswer:D.\ x\sqrt7\ when\ x > 0

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Is (6, -4) a solution for the following system of equations? y=8-2x x+3y=12 Yes or No?
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Given the equation4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?
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Select all the fractions that are equivalent to 4.05

Answers

Answer:81/20 or 405/100

Step-by-step explanation:

Y=-3/4x+1 find the slope and y-intercept

Answers

The\ slope-intercept\ form:y=mx+b\n\nm\ is\ the\ slope\nb\ is\ y-intercept\n=============================\ny=-(3)/(4)x+1\n\nthe\ slope:m=-(3)/(4)\n\ny-intercept:b=1
y=mx+b 

y = 3/4x +1 

Slope = 3/4
Y-intercept = 1 

An architect has a floor plan for a house is designing. The length of a room of the house on the floor plan is 10 inches. If the scale of the floor plan is 1/3 inch = 0.5 ft, what is actual length of the room?A) 5 ft
B) 6.7 ft
C) 10 ft
D) 15 ft

Answers

If 1/3 inch represents 0.5 ft, then 10 inches will represent (10 * 0.5)/(1/3) = 3 * 5 = 15ft

Final answer:

The actual length of the room is 15 ft.

Explanation:

To find the actual length of the room, we need to use the scale provided. The scale is 1/3 inch = 0.5 ft. We know that the length of the room on the floor plan is 10 inches. We can set up a proportion to solve for the actual length:

1/3 inch / 0.5 ft = 10 inches / x ft

Cross multiplying, we get:

1/3 * x = 0.5 * 10

Simplifying, we get:

x = 0.5 * 10 * 3

x = 15 ft

Therefore, the actual length of the room is 15 ft, which corresponds to the given length of 10 inches on the floor plan.

Learn more about Length here:

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If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last?

Answers

Answer:

55 minutes

Step-by-step explanation:

The vertices of a right triangle are (6, 2), (–2, –4), and (–2, y). What is the value of y?



A.
–4


B.
–2


C.
2


D.
4

Answers

The answer should be C. 2
:P hope this helps you
The value of y is C. 2.

(6, 2), (-2, -4), (-2, 2)

During a sale at the bookstore,books sold for $3 and magazines sold for $2.50.Jan spent $16 and bought a total of 6 books and magazines.how many of each did she buy

Answers

If you would like to know how many of each did Jan buy, you can calculate this using the following two equations:

b ... the number of books
m ... the number of magazines

$16 = b * $3 + m * $2.50 ... 16 = 3 * b + 2.50 * m
b + m = 6 ... b = 6 - m
__________________
16 = 3 * b + 2.50 * m

16 = 3 * (6 - m) + 2.50 * m

16 = 3 * 6 - 3 * m + 2.50 * m

16 - 18 = - 3 * m + 2.50 * m

- 2 = - 0.50 * m     /0.50

m = 2 / 0.50

m = 4 magazines 

b = 6 - m = 6 - 4 = 2 books

Result: Jan bought 4 magazines and 2 books.
4 magazines @ $2.50 a piece
2 books @ $3 a piece
6 in total for $16
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